4030473491985 · 2666668 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

Description:4030473491985 · 2666668 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1938 : Valverius, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.67050538)
Rank (*):30865 (digit rank is 1137)
Entrance Rank (*):3213
Currently on list? (*):no
Submitted:4/14/2011 22:11:57 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/3/2011 05:19:55 UTC
Database id:99656
Status Flags:none
Score (*):41.699 (normalized score 0.0455)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id99656
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 4030473491985 2 666668 -1 2>&1 [Elapsed time: 9.962 seconds]
modified2020-07-07 22:30:31
created2011-04-14 22:19:12
id128796

fieldvalue
prime_id99656
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 4030473491985*2^666668-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4030473491985*2^666668-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 4030473491985*2^666668-1 is prime! Time : 909.317 sec. [Elapsed time: 15.17 minutes]
modified2020-07-07 22:30:31
created2011-04-15 02:45:35
id128891

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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